# Stored data for newform 315.2.l.b, downloaded from the LMFDB on 24 April 2024.
{"label": "315.2.l.b", "space_label": "315.2.l", "level": 315, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504355575169339, "dim": 24, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 0, -47, -6, 172, 44, -186, -42, 80, 12, -15, -1, 1]]], "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "l", "char_is_real": false, "Nk2": 1260, "analytic_conductor": 2.5152876636703323, "level_radical": 105, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [315, 3, [281, 127, 136], [1, 3, 1]], "inner_twist_count": 2, "level_primes": [3, 5, 7], "conrey_indexes": [121, 151], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c3", "trace_display": [2, -5, 12, -11], "traces": [24, 2, -5, 14, 12, 3, -11, 12, -3, 1, 1, -7, -4, 8, -1, 10, -7, 18, -2, 7, -17, 19, 1, 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20, 60, 22, 91, 4, 48, 99, 172, 68, 67, 17, -164, 57, 228, 282, 111, -144, -26, -150, 38, 26, -176, 357, -141, -162, 17, -63, -71, 64, -114, -125, -52, 224, -26, -124, -33, -7, 68, 132, 74, 47, 26, -127, -224, -46, 8, -114, -44, 415, -204, -35, 113, 115, -14, -28, -2, 107, -104, -32, -22, -9, 104, -29, 209, -19, -74, 24, 42, -21, 16, -35, 43, 134, -123, 116, 25, 68, -162, 265, -84, -97, -106, -79, -66, -276, 29, 275, -145, 96, -28, -23, 129, -66, -339, -71, -29, 249, -65, -161, -112, -12], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 8, 1, 3, 0]], "char_orbit_index": 12, "prim_orbit_index": 8, "minimal_twist": "315.2.k.b", "char_is_minimal": true, "conrey_index": 121, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}